Let f: R → R be a function defined as f(x) = begincases 5, & if x ≤ 1 \ a + bx, & if 1 < x < 3 \ b + 5x, & if 3 ≤ x < 5 \ 30, & if x ≥ 5 endcases Then, f is

not continuous for any values of a and b

continuous if a = -5 and b = 10

Let f: R → R be a function defined as f(x) = begincases 5,… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 9 Jan · Shift I

Let

f: R \to R

be a function defined as

f(x) = \begin{cases} 5, & \text{if } x \leq 1 \\ a + bx, & \text{if } 1 < x < 3 \\ b + 5x, & \text{if } 3 \leq x < 5 \\ 30, & \text{if } x \geq 5 \end{cases}

Then,

f

Show answer

Correct option: D

[JEE Main 2019 · 9 Jan · Shift I]

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